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Finding the Fourth Proportional to 82,109.39, 113,311.77 and 45,810.54

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Solution

The fourth proportional to 82,109.39, 113,311.77 and 45,810.54 is: 63,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,109.39 : 113,311.77 = 45,810.54 : x
  2. Step 2: Convert to fraction form
    82,109.39/113,311.77 = 45,810.54/x
  3. Step 3: Cross multiply
    82,109.39x = 113,311.77 × 45,810.54
  4. Step 4: Simplify right side
    82,109.39x = 5,190,873,372.06
  5. Step 5: Solve for x
    x = 5,190,873,372.06/82,109.39
  6. Step 6: Final answer
    x = 63,219.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.